SOLUTION: This is what my teacher gave me for homework i got question one but i had to ask. She didnt give me much help. Im not really asking you to solve the questions but i would like for

Question 236976: This is what my teacher gave me for homework i got question one but i had to ask. She didnt give me much help. Im not really asking you to solve the questions but i would like for a little clearity in this i normally get math but this is my first year of online and i dont get algebra 2,
Use three or more sentences to describe how you identify whether or not a polynomial is a difference of two squares. Then, factor the polynomial 4x2-36.
Use three or more sentences to describe how you identify whether or not a polynomial is a perfect square trinomial. Then, factor the polynomial x2-40x+400.
Consider the factoring process that has been illustrated below. Use three or more sentences to describe the process used to factor this polynomial.
3y3+4y2-12y-16
=y2(3y+4)-4(3y+4)
=(3y+4)(y2-4)
=(3y+4)(y+2)(y-2)
Use three or more sentences to describe the process you would follow to completely factor the polynomial 3x6+24.

Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
Use three or more sentences to describe how you identify whether or not a polynomial is a difference of two squares. Then, factor the polynomial 4x^2-36.
THE FIRST TERM IS A SQUARE TERM
THE SECOND TERM IS A SQUARE TERM
THEY ARE SEPARATED BY A - SIGN
(2X+6)(2X-6)
------------------------------------------------
Use three or more sentences to describe how you identify whether or not a polynomial is a perfect square trinomial. Then, factor the polynomial x^2-40x+400.
THE FIRST TERM IS A SQUARE TERM
THE LAST TERM IS A SQUARE TERM
THE MIDDLE TERM IS 2 TIMES THE SQRT. OF THE THIRD TERM
(X-20)(X-20)
--------------------------------------------------------
Consider the factoring process that has been illustrated below. Use three or more sentences to describe the process used to factor this polynomial.
3y^3+4y^2-12^y-16 EXTRACT Y^2 FROM THE FIRST 2 TERMS & -4 FROM THE LAST 2 TERMS.
=y^2(3y+4)-4(3y+4) COMBINE THE (3Y+4) TERM MULTIPLIERS.
=(3y+4)(y^2-4) FACTOR THE (Y^2-4)TERMS.
=(3y+4)(y+2)(y-2)
Use three or more sentences to describe the process you would follow to completely factor the polynomial 3x6+24.

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